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Finding the Fourth Proportional to 1,082.65, 1,624.38 and 433.44

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Solution

The fourth proportional to 1,082.65, 1,624.38 and 433.44 is: 650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.65 : 1,624.38 = 433.44 : x
  2. Step 2: Convert to fraction form
    1,082.65/1,624.38 = 433.44/x
  3. Step 3: Cross multiply
    1,082.65x = 1,624.38 × 433.44
  4. Step 4: Simplify right side
    1,082.65x = 704,071.27
  5. Step 5: Solve for x
    x = 704,071.27/1,082.65
  6. Step 6: Final answer
    x = 650.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.